• Title/Summary/Keyword: Least Square Fitting

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3D Building Reconstruction and Visualization by Clustering Airborne LiDAR Data and Roof Shape Analysis

  • Lee, Dong-Cheon;Jung, Hyung-Sup;Yom, Jae-Hong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.25 no.6_1
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    • pp.507-516
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    • 2007
  • Segmentation and organization of the LiDAR (Light Detection and Ranging) data of the Earth's surface are difficult tasks because the captured LiDAR data are composed of irregularly distributed point clouds with lack of semantic information. The reason for this difficulty in processing LiDAR data is that the data provide huge amount of the spatial coordinates without topological and/or relational information among the points. This study introduces LiDAR data segmentation technique by utilizing histograms of the LiDAR height image data and analyzing roof shape for 3D reconstruction and visualization of the buildings. One of the advantages in utilizing LiDAR height image data is no registration required because the LiDAR data are geo-referenced and ortho-projected data. In consequence, measurements on the image provide absolute reference coordinates. The LiDAR image allows measurement of the initial building boundaries to estimate locations of the side walls and to form the planar surfaces which represent approximate building footprints. LiDAR points close to each side wall were grouped together then the least-square planar surface fitting with the segmented point clouds was performed to determine precise location of each wall of an building. Finally, roof shape analysis was performed by accumulated slopes along the profiles of the roof top. However, simulated LiDAR data were used for analyzing roof shape because buildings with various shapes of the roof do not exist in the test area. The proposed approach has been tested on the heavily built-up urban residential area. 3D digital vector map produced by digitizing complied aerial photographs was used to evaluate accuracy of the results. Experimental results show efficiency of the proposed methodology for 3D building reconstruction and large scale digital mapping especially for the urban area.

Numerical Analysis of NACA64-418 Airfoil with Blunt Trailing Edge

  • Yoo, Hong-Seok;Lee, Jang-Chang
    • International Journal of Aeronautical and Space Sciences
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    • v.16 no.4
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    • pp.493-499
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    • 2015
  • The aerodynamic performance of blunt trailing edge airfoils was investigated. The flow fields around the modified NACA64-418, which consists of the tip blade of the wind turbine and Mexico model of IEA wind, were analyzed. To imitate the repaired airfoil, the original NACA64-418 airfoil, a cambered airfoil, is modified by the adding thickness method, which is accomplished by adding the thickness symmetrically to both sides of the camber line. The thickness ratio of the blunt trailing edge of the modified airfoil, $t_{TE}/t_{max}$, is newly defined to analyze the effects of the blunt trailing edge. The shape functions describing the upper and lower surfaces of the modified NACA64-418 with blunt trailing edge are obtained from the curve fitting of the least square method. To verify the accuracy of the present numerical analysis, the results are first compared with the experimental data of NACA64-418 with high Reynolds number, $Re=6{\times}10^6$, measured in the Langley low-turbulence pressure tunnel. Then, the aerodynamic performance of the modified NACA64-418 is analyzed. The numerical results show that the drag increases, but the lift increases insignificantly, as the trailing edge of the airfoil is thickened. Re-circulation bubbles also develop and increase gradually in size as the thickness ratio of the trailing edge is increased. These re-circulations result in an increase in the drag of the airfoil. The pressure distributions around the modified NACA64-418 are similar, regardless of the thickness ratio of the blunt trailing edge.

Modeling of Highly Segmented Fluid-Driven Natural Fractures (다중으로 분할된 자연수압파쇄 균열 모델링)

  • Sim, Young-Jong
    • Journal of the Korean GEO-environmental Society
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    • v.10 no.6
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    • pp.135-141
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    • 2009
  • Fracturing technique using fluid injection into the borehole is widely used technology in the industry for the geothermal heat, oil, and gas extraction. Dealing with fluid-driven natural fractures such as dike and vein indirectly, design technology would be improved by adapting their principles. In this paper, mechanical interaction between the segments is evaluated by modeling highly segmented and closely spaced fluid-driven natural fractures. The number of segments is 71 with 3,339 measured apertures in which the interaction is considerably predicted. To evaluate mechanical interaction, boundary collocation method is used and the net pressure is calculated by using least square method to fit measured apertures. As a result, in case that mechanical interaction is considered, two pressures as fitting parameters are sufficient to capture measured apertures.

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PERIOD STUDIES OF CLOSE BINARIES, AO CAM AND AW CAM (근접쌍성 AO Cam과 AW Cam의 공전 주기 연구)

  • 김천휘;한원용;나일성
    • Journal of Astronomy and Space Sciences
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    • v.9 no.1
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    • pp.41-51
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    • 1992
  • Photoelectric observations of close binary stars, AO Cam and AW Cam, were made during the 1984 observing season with the 61cm reflector at the Sobaeksan Observatory. One time of primary minimum for AO Cam and three primary epochs for AW Cam were derived from the observations of these two systems. Times of minimum light of these two binaries collected from literature were analyzed with a least square fitting method. New improved light elements for AO Cam and AW Cam were determined. The orbital period of AO Cam had been constant from Octobar, 1980 (JD 244520) to February, 1985 (JD 2446107). However, one secondary time of minimum (JD 2447864.7879) of AO Cam published recently by Mullis and Faulkner(1991) shows large deviation of about 4.6 minutes ($0^d.0032$) from the one predicted by our new light elements. Future observations of times of minima for this system are needed to test this period change. The orbital period of AW Cam has been constant as P=$0^d.77134645$ for about sixty years from the early 1930's to the present.

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Relationship between Image Compression and Gamut Variation Using JPEG and JPEG2000 (JPEG 및 JPEG2000을 이용한 영상 압축과 색역 변화의 관계)

  • Ko, Kyung-Woo;Park, Tae-Yong;Ha, Yeong-Ho
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.4
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    • pp.1-8
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    • 2009
  • Image compression schemes, such as JPEG and JPEG2000, degrade the Quality of a reconstructed image due to their lossy characteristics. Accordingly, this paper investigates the relationship between the compression ratio and the gamut variation for a reconstructed image using JPEG and JPEG2000. To analyze the relationship between compression ratio and gamut variation, i.e. the hue and chroma shift in the uniform color space, eighteen color samples from the Macbeth ColorChecker are initially used. Based on the color shift phenomenon for the color samples, twelve natural color images, classified into two groups depending on four color attributes, are also used to investigate the relationship between the level of compression and the variation in the gamut area. As a results, through the experiments, least square method is applied to obtain the fitting curves as an equation minimizing the error between the real data and its corresponding approximated values.

A Method of ISAR Geometric Calibration for Point Target Using Impulse-Radio UWB (임펄스 초광대역 레이다를 이용한 점표적의 ISAR 기하 보정 방법)

  • Yu, Jiwoong;Nikitin, Konstantin;Paek, Inchan;Jang, Jong Hun;Ka, Min-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.4
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    • pp.397-403
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    • 2015
  • In this paper, a method of ISAR geometric calibration is represented by using impulse-radio UWB radar. The ir-UWB is good for using a signal processing in time domain, so, it does not occur a multi-path or coupling problem. If a signal that between antennas and target is assumed a plane wave, a center of rotation in ISAR geometry model can be estimated by using point target. Before image is reconstructed with sinogram, the center of rotation can be calculated by using least square fitting. This method can be obtained a more contrast image, and a maximum value of entropy of image. The method, that estimates a center of rotation in received data, will be used a initial setup of instruments or a periodic compensation to reconstruct image. It would be useful in medical, security and surveillance imaging equipments that have a fixed geometry.

A Development of GUI Full-Energy Absorption Peak Analysis Program for Educational Purpose (전 에너지 흡수 피크 분석용 GUI 기반 교육용 프로그램 개발)

  • Sohn, Jong-Wan;Shin, Myung-Suk;Lee, Hye-Jung;Jung, Kyung-Su;Jeong, Min-Su;Kim, Sang-Nyeon
    • Journal of Radiation Protection and Research
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    • v.34 no.2
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    • pp.69-75
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    • 2009
  • To obtain precise information about characteristics of gamma ray detector system responses, we developed new GUI computer program to analize full-energy absorption peak using our developed Delphi computer code for educational purpose. By use of the well known 4 nonlinear peak shaping functions, peaks were fitted with least square fit method in this code. In this paper, we described the methods to search for 12 coefficients in above 4 nonlinear peak shaping functions by use of our developed code in details. The computer code was tested for 1 $\mu$Ci $^{137)Cs$ 661 keV gamma ray peak spectrum detected by 25 % relative efficiency HPGe detector with 5.35 cm (D) $\times$ 5.5 cm (L) size.

Real-Time Lane Detection Based on Inverse Perspective Transform and Search Range Prediction (역원근 변환과 검색 영역 예측에 의한 실시간 차선 인식)

  • Kim, S.H.;Lee, D.H.;Lee, M.H.;Be, J.I.
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2843-2845
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    • 2000
  • A lane detection based on a road model or feature all need correct acquirement of information on the lane in a image, It is inefficient to implement a lane detection algorithm through the full range of a image when being applied to a real road in real time because of the calculating time. This paper defines two searching range of detecting lane in a road, First is searching mode that is searching the lane without any prior information of a road, Second is recognition mode, which is able to reduce the size and change the position of a searching range by predicting the position of a lane through the acquired information in a previous frame. It is allow to extract accurately and efficiently the edge candidates points of a lane as not conducting an unnecessary searching. By means of removing the perspective effect of the edge candidate points which are acquired by using the inverse perspective transformation, we transform the edge candidate information in the Image Coordinate System(ICS) into the plane-view image in the World Coordinate System(WCS). We define linear approximation filter and remove the fault edge candidate points by using it This paper aims to approximate more correctly the lane of an actual road by applying the least-mean square method with the fault-removed edge information for curve fitting.

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Active mass driver control system for suppressing wind-induced vibration of the Canton Tower

  • Xu, Huai-Bing;Zhang, Chun-Wei;Li, Hui;Tan, Ping;Ou, Jin-Ping;Zhou, Fu-Lin
    • Smart Structures and Systems
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    • v.13 no.2
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    • pp.281-303
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    • 2014
  • In order to suppress the wind-induced vibrations of the Canton Tower, a pair of active mass driver (AMD) systems has been installed on the top of the main structure. The structural principal directions in which the bending modes of the structure are uncoupled are proposed and verified based on the orthogonal projection approach. For the vibration control design in the principal X direction, the simplified model of the structure is developed based on the finite element model and modified according to the field measurements under wind excitations. The AMD system driven by permanent magnet synchronous linear motors are adopted. The dynamical models of the AMD subsystems are determined according to the open-loop test results by using nonlinear least square fitting method. The continuous variable gain feedback (VGF) control strategy is adopted to make the AMD system adaptive to the variation in the intensity of wind excitations. Finally, the field tests of free vibration control are carried out. The field test results of AMD control show that the damping ratio of the first vibration mode increases up to 11 times of the original value without control.

Piezoelectric 6-dimensional accelerometer cross coupling compensation algorithm based on two-stage calibration

  • Dengzhuo Zhang;Min Li;Tongbao Zhu;Lan Qin;Jingcheng Liu;Jun Liu
    • Smart Structures and Systems
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    • v.32 no.2
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    • pp.101-109
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    • 2023
  • In order to improve the measurement accuracy of the 6-dimensional accelerometer, the cross coupling compensation method of the accelerometer needs to be studied. In this paper, the non-linear error caused by cross coupling of piezoelectric six-dimensional accelerometer is compensated online. The cross coupling filter is obtained by analyzing the cross coupling principle of a piezoelectric six-dimensional accelerometer. Linear and non-linear fitting methods are designed. A two-level calibration hybrid compensation algorithm is proposed. An experimental prototype of a piezoelectric six-dimensional accelerometer is fabricated. Calibration and test experiments of accelerometer were carried out. The measured results show that the average non-linearity of the proposed algorithm is 2.2628% lower than that of the least square method, the solution time is 0.019382 seconds, and the proposed algorithm can realize the real-time measurement in six dimensions while improving the measurement accuracy. The proposed algorithm combines real-time and high precision. The research results provide theoretical and technical support for the calibration method and online compensation technology of the 6-dimensional accelerometer.